H. Barge

activity

20182024

most citedA Conley index study of the evolution of the Lorenz strange set

7 citations · 39 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.DS2023

Shape index, Brouwer degree and Poincaré-Hopf theorem

Héctor Barge, José M. R. Sanjurjo

In this paper we study the relationship of the Brouwer degree of a vector field with the dynamics of the induced flow. Analogous relations are studied for the index of a vector fie…

math.DS2023

On the growth rate inequality for self-maps of the sphere

Héctor Barge, Luis Hernández-Corbato

Let $S^{m} = {x_{0}^{2} + x_{1}^{2} + \dots + x_{m}^{2} = 1}$ and $P = {x_{0} = x_{1} = 0} \cap S^{m}$ . Suppose that $f$ is a self--map of $S^{m}$ such that $f^{- 1} (P) = P$ and $|\mathrm{deg}(f_{|P…

math.DS2023

Knotted toroidal sets, attractors and incompressible surfaces

Héctor Barge, J. J. Sánchez-Gabites

In this paper we give a complete characterization of those knotted toroidal sets that can be realized as attractors for both discrete and continuous dynamical systems globally defi…